Determine the enthalpy change Ah of carbon monoxide, in kJ/kg, as it is heated from 300K to 1000 K, using: (a) the empirical specific heat equation as a function of temperature (Table A-2c) (b) the c, value at the average temperature (Table A-2b) (c) the c, value at room temperature (Table A-2a) (d) the ideal gas properties of carbon monoxide table (Table A-21). Calculate the percent error between answers i) d & a, ii) d & b and iii) d & c.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Determine the enthalpy change Ah of carbon monoxide, in kJ/kg, as it is heated from 300K to 1000 K, using:
(a) the empirical specific heat equation as a function of temperature (Table A-2c)
(b) the c, value at the average temperature (Table A-2b)
(c) the c, value at room temperature (Table A-2a)
(d) the ideal gas properties of carbon monoxide table (Table A-21).
Calculate the percent error between answers i) d & a, ii) d & b and iii) d & c.
Transcribed Image Text:Determine the enthalpy change Ah of carbon monoxide, in kJ/kg, as it is heated from 300K to 1000 K, using: (a) the empirical specific heat equation as a function of temperature (Table A-2c) (b) the c, value at the average temperature (Table A-2b) (c) the c, value at room temperature (Table A-2a) (d) the ideal gas properties of carbon monoxide table (Table A-21). Calculate the percent error between answers i) d & a, ii) d & b and iii) d & c.
PROPERTY TABLES AND CHARTS
TABLE A-2
Ideal-gas specific heats of various common gases (Continued)
(b) At various temperatures
Temperature,
K
250
300
350
400
450
500
550
600
650
700
750
800
900
1000
250
300
350
400
450
500
550
600
650
700
750
800
900
1000
Sulfur
Sulfur
dioxide
Sulfur
KJ/kg-K
trioxide
Acetylene
Benzene
1.003
1.005
1.008
1.013
Methanol
Ethanol
Hydrogen
1.020
1.029
1.040
1.051
chloride
1.063
1.075
Methane
Ethane
Propane
n-Butane
Bulanc
1.087
1.099
1.121
1.142
14.051
14.307
14.427
14.476
14.501
Substance
Nitrogen
Oxygen
Air
Hydrogen
Carbon monoxide CO
H₂
Carbon dioxide
CO
H₂O
NO
Water vapor
Nitric oxide
Nitrous oxide
Nitrogen dioxide
Ammonia
14.513
14.530
14.546
14.571
14.604
14.645
14.695
14.822
14.983
Formula
N₂
0₂
N₂O
NO₂
NH,
S
SO₁
SO,
CH₂
CH₂
CH₂O
CH₂O
HCI
CH,
CH
CH₂
kJ/kg-K
Air
0.716
0.718
0.721
0.726
CH
CH
0.733
0.742
0.753
0.764
0,776
0.788
0.800
0.812
Hydrogen, H
-9.927
10.183
10.302
0.834
0.855
CH₂
CH,
10.352
10.377
10.389
10.405
10.422
10.447
10.480
10.521
TABLE A-2
Ideal-gas specific beats of various common gases (Concluded)
(c) As a function of temperature
10.570
10.698
10.859
25.78
16.40
21.8
-36.22
k
19.0
19.9
1.401
1.400
1.398
1.395
1.391
-4.04
CH
3.96
CH₂ -7.913
6.774
6.938
3.95
3.15
1.387
1.381
1.376
6.900
1.370
1.364
1.359
1.354
1.344
1.336
1.416
1.405
1.400
1.398
1.398
1.397
1.396
1.396
1.395
1.394
1.392
1.390
1.385
1.380
kJ/kg-K
0.791
0.846
0.895
0.939
0.978
1.014
1.046
1.075
1.102
1.126
1.148
1.169
1.204
1.234
MANAMERIC
1.039
1.039
1.041
a
28.90
25.48
28.11
29.11 -0.1916 x 10
28.16
0.1675 x 10
22.26
5.981 x 10
32.24
0.1923 x 10
29.34 -0.09395 x 10-
24.11
22.9
5.8632 x 10-¹
5.715 x 10¹
2.5630 x 10-¹
27.568
27.21
2.218 x 10
5.795 × 10
14.58 x 10
9.2143 x 10
48.475 x 10¹
9.152 x 10-1
20.96 x 10
1.044
1.049
1.056
1.065
1.075
1.086
1.098
1.110
1121
1.145
1.167
kJ/kg-K
Carbon dioxide, Co,
b
-0.1571 x 10
1.520 x 10
0.1967 x 10-²
30.33 -0.7620 x 10-¹
19.89
5.024 x 10²
17.27 x 10¹
30.48 x 10
37.15 x 10-
41.60 x 10
41.43 x 10-
55.22 x 10-
15.64 x 109
21.81 x 10-¹
MONITION
0.602
0.657
0.706
0.750
0.790
0.825
0.857
0.886
0.913
0.937
0.959
0.980
1.015
1.045
Nitrogen, N,
0.742
0.743
0.744
0.747
0.752
0.759
0.768
0.778
0.789
=a+bT+cT° + dr
(T in K. c, in kJ/kmol-K)
0.801
0.813
0.825
0.849
0.870
0.8081 x 10
-0.7155 x 10
0,4802 x 10
0.4003 x 10
0.5372 x 10
-3.501 x 10
1.055 x 105
0.9747 x 10-5
-3.562 x 10
-3.52 x 105
0.99072 x 10-
-1.628 x 10
-3.812 x 10
-11.20 x 10
-6.327 x 10
-31.57 x 10-¹
-1.22 x 10
-10.38 x 10
1.327 x 10-
1.269 x 10
-6.406 x 10-5
-15.72 x 10
k
Source of Dear Kenneth Wark, Thermodynamics, 4th ed. (New York: McGraw-Hill, 1983), p. 783, Table A-4M. Originally published in Tables of Thermal Properties of
Guses, NBS Circular 564, 1955
-18.34 x 10-
-23.01 x 10-
-22.40 x 10-
-28.65 x 10-
-8.344 × 10
-12.18 × 10-
1.314
1.288
1.268
1.252
1.239
1.229
1.220
1.213
1.207
1.202
1.197
1.193
1.186
1.181
1.400
1.400
1.399
1.397
1.395
1.391
1.387
1.382
1.376
1.371
1.365
1.360
1.349
1.341
-2.873 x 10-
1.312 x 10
-1.966 x 10
-0.8704 x 10-
-2,222 x 10*
7.469 x 10-
-3.595 x 10
-4.187 x 10-
10.58 x 10
7.87 x 10
-6.6909 x 10
3.986 x 10
8.612 x 10
32.42 x 10
18.21 x 10¹
77.62 x 10
-8.039 x 10
20.05 x 10
-4.338 x 10
-11.01 x 10
7.285 x 10-
31.74 x 10
15.00 x 10
49.91 x 10
42.29 x 10
57.69 x 10
17.67 x 10
24.62 x 10
n-Pemanc
n-lexane
Ethylene
Propylene
Source of the B.G. Kyle, Chemical and Process Thermob (girevod Clifis, NJ: Penice Hall, 1986)
C
kJ/kg-K
1.039
1040
1,043
1.047
Carbon monoxide, CO
0.743
0.744
0.746
0.751
1.054
1.063
1.075
1.087
1.100
1.113
1.126
1.139
1.163
1.185
0.913
0.918
0.928
0.941
0.956
0.972
0.988
1.003
1.017
1.031
1.043
1.054
1.074
1.090
C₂
kJ/kg-K
0.757
0.767
0.778
0.790
0.803
0.816
0.829
0.842
0.866
0.888
Oxygen, 0,
0.653
0.658
0.668
0.681
0.696
0.712
0.728
0.743
0.758
0.771
0.783
0.794
0.814
0.830
Temperature
range, K
k
Max.
0.59
1.19
273-1800
273-1800
273-1800 0.72
273-1800 1.01
273-1800 0.89
273-1800 0.67
273-1800 0.5.3
273-1500 0.97
273-1500 0.59
273-1500 0.46
273-1500 0.91
273-1800 0.99
273-1800
0.29
273-1300
273-1300 1.46
273-1500 0.34
273-1000 0.18
273-1500 0.40
0.45
1,400
1.399
1.398
1.395
1.392
1.387
1.382
1.376
1.370
1.364
1.358
1.353
1.343
1.335
1.398
1.395
1.389
1.382
1.373
1.365
1.358
1.350
1.343
1.337
1.332
1.327
1.319
1.313
%error
Ave.
0.34
0.28
0.33
0.26
0.37
0.22
0.24
0.36
0.26
0.18
0.36
0.38
0.24
0.13
0.39
0.20
0.08
0.22
273-1500 0.22
273-1500
1.33
273-1500 0.83
273-1500 0,40
273-1500 0.54
273-1500 0.25
273-1300 0.30
273-1500 0.72 0.20
273-1500 0.54 0.13
273-1500 0.73 0.17
0.08
0.57
0.28
0.12
0.24
0.13
0.21
Transcribed Image Text:PROPERTY TABLES AND CHARTS TABLE A-2 Ideal-gas specific heats of various common gases (Continued) (b) At various temperatures Temperature, K 250 300 350 400 450 500 550 600 650 700 750 800 900 1000 250 300 350 400 450 500 550 600 650 700 750 800 900 1000 Sulfur Sulfur dioxide Sulfur KJ/kg-K trioxide Acetylene Benzene 1.003 1.005 1.008 1.013 Methanol Ethanol Hydrogen 1.020 1.029 1.040 1.051 chloride 1.063 1.075 Methane Ethane Propane n-Butane Bulanc 1.087 1.099 1.121 1.142 14.051 14.307 14.427 14.476 14.501 Substance Nitrogen Oxygen Air Hydrogen Carbon monoxide CO H₂ Carbon dioxide CO H₂O NO Water vapor Nitric oxide Nitrous oxide Nitrogen dioxide Ammonia 14.513 14.530 14.546 14.571 14.604 14.645 14.695 14.822 14.983 Formula N₂ 0₂ N₂O NO₂ NH, S SO₁ SO, CH₂ CH₂ CH₂O CH₂O HCI CH, CH CH₂ kJ/kg-K Air 0.716 0.718 0.721 0.726 CH CH 0.733 0.742 0.753 0.764 0,776 0.788 0.800 0.812 Hydrogen, H -9.927 10.183 10.302 0.834 0.855 CH₂ CH, 10.352 10.377 10.389 10.405 10.422 10.447 10.480 10.521 TABLE A-2 Ideal-gas specific beats of various common gases (Concluded) (c) As a function of temperature 10.570 10.698 10.859 25.78 16.40 21.8 -36.22 k 19.0 19.9 1.401 1.400 1.398 1.395 1.391 -4.04 CH 3.96 CH₂ -7.913 6.774 6.938 3.95 3.15 1.387 1.381 1.376 6.900 1.370 1.364 1.359 1.354 1.344 1.336 1.416 1.405 1.400 1.398 1.398 1.397 1.396 1.396 1.395 1.394 1.392 1.390 1.385 1.380 kJ/kg-K 0.791 0.846 0.895 0.939 0.978 1.014 1.046 1.075 1.102 1.126 1.148 1.169 1.204 1.234 MANAMERIC 1.039 1.039 1.041 a 28.90 25.48 28.11 29.11 -0.1916 x 10 28.16 0.1675 x 10 22.26 5.981 x 10 32.24 0.1923 x 10 29.34 -0.09395 x 10- 24.11 22.9 5.8632 x 10-¹ 5.715 x 10¹ 2.5630 x 10-¹ 27.568 27.21 2.218 x 10 5.795 × 10 14.58 x 10 9.2143 x 10 48.475 x 10¹ 9.152 x 10-1 20.96 x 10 1.044 1.049 1.056 1.065 1.075 1.086 1.098 1.110 1121 1.145 1.167 kJ/kg-K Carbon dioxide, Co, b -0.1571 x 10 1.520 x 10 0.1967 x 10-² 30.33 -0.7620 x 10-¹ 19.89 5.024 x 10² 17.27 x 10¹ 30.48 x 10 37.15 x 10- 41.60 x 10 41.43 x 10- 55.22 x 10- 15.64 x 109 21.81 x 10-¹ MONITION 0.602 0.657 0.706 0.750 0.790 0.825 0.857 0.886 0.913 0.937 0.959 0.980 1.015 1.045 Nitrogen, N, 0.742 0.743 0.744 0.747 0.752 0.759 0.768 0.778 0.789 =a+bT+cT° + dr (T in K. c, in kJ/kmol-K) 0.801 0.813 0.825 0.849 0.870 0.8081 x 10 -0.7155 x 10 0,4802 x 10 0.4003 x 10 0.5372 x 10 -3.501 x 10 1.055 x 105 0.9747 x 10-5 -3.562 x 10 -3.52 x 105 0.99072 x 10- -1.628 x 10 -3.812 x 10 -11.20 x 10 -6.327 x 10 -31.57 x 10-¹ -1.22 x 10 -10.38 x 10 1.327 x 10- 1.269 x 10 -6.406 x 10-5 -15.72 x 10 k Source of Dear Kenneth Wark, Thermodynamics, 4th ed. (New York: McGraw-Hill, 1983), p. 783, Table A-4M. Originally published in Tables of Thermal Properties of Guses, NBS Circular 564, 1955 -18.34 x 10- -23.01 x 10- -22.40 x 10- -28.65 x 10- -8.344 × 10 -12.18 × 10- 1.314 1.288 1.268 1.252 1.239 1.229 1.220 1.213 1.207 1.202 1.197 1.193 1.186 1.181 1.400 1.400 1.399 1.397 1.395 1.391 1.387 1.382 1.376 1.371 1.365 1.360 1.349 1.341 -2.873 x 10- 1.312 x 10 -1.966 x 10 -0.8704 x 10- -2,222 x 10* 7.469 x 10- -3.595 x 10 -4.187 x 10- 10.58 x 10 7.87 x 10 -6.6909 x 10 3.986 x 10 8.612 x 10 32.42 x 10 18.21 x 10¹ 77.62 x 10 -8.039 x 10 20.05 x 10 -4.338 x 10 -11.01 x 10 7.285 x 10- 31.74 x 10 15.00 x 10 49.91 x 10 42.29 x 10 57.69 x 10 17.67 x 10 24.62 x 10 n-Pemanc n-lexane Ethylene Propylene Source of the B.G. Kyle, Chemical and Process Thermob (girevod Clifis, NJ: Penice Hall, 1986) C kJ/kg-K 1.039 1040 1,043 1.047 Carbon monoxide, CO 0.743 0.744 0.746 0.751 1.054 1.063 1.075 1.087 1.100 1.113 1.126 1.139 1.163 1.185 0.913 0.918 0.928 0.941 0.956 0.972 0.988 1.003 1.017 1.031 1.043 1.054 1.074 1.090 C₂ kJ/kg-K 0.757 0.767 0.778 0.790 0.803 0.816 0.829 0.842 0.866 0.888 Oxygen, 0, 0.653 0.658 0.668 0.681 0.696 0.712 0.728 0.743 0.758 0.771 0.783 0.794 0.814 0.830 Temperature range, K k Max. 0.59 1.19 273-1800 273-1800 273-1800 0.72 273-1800 1.01 273-1800 0.89 273-1800 0.67 273-1800 0.5.3 273-1500 0.97 273-1500 0.59 273-1500 0.46 273-1500 0.91 273-1800 0.99 273-1800 0.29 273-1300 273-1300 1.46 273-1500 0.34 273-1000 0.18 273-1500 0.40 0.45 1,400 1.399 1.398 1.395 1.392 1.387 1.382 1.376 1.370 1.364 1.358 1.353 1.343 1.335 1.398 1.395 1.389 1.382 1.373 1.365 1.358 1.350 1.343 1.337 1.332 1.327 1.319 1.313 %error Ave. 0.34 0.28 0.33 0.26 0.37 0.22 0.24 0.36 0.26 0.18 0.36 0.38 0.24 0.13 0.39 0.20 0.08 0.22 273-1500 0.22 273-1500 1.33 273-1500 0.83 273-1500 0,40 273-1500 0.54 273-1500 0.25 273-1300 0.30 273-1500 0.72 0.20 273-1500 0.54 0.13 273-1500 0.73 0.17 0.08 0.57 0.28 0.12 0.24 0.13 0.21
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